Station P is situated on a bearing 030° and 12km east of station Q which is north of R. How far is P north of R?

The value of x varies with y and when x=1/3 y=12 write an equationto represent the variation

Virty [35]

Answer:

y = 36x

Step-by-step explanation:

Given that x and y vary directly then the equation relating the is

y = kx ← k is the constant of variation

To find k use the condition x = $\frac{1}{3}$ , y = 12, then

k = $\frac{y}{x}$ = $\frac{12}{\frac{1}{3} }$ = 12 × 3 = 36

y = 36x ← equation of variation

5 0

3 years ago

Fill in the blanks, using the Associative Property of Multiplication: (8 X 1) 3 = 8 x ( x 3) - = 8x

hammer [34]

Step-by-step explanation:

Consider the provided multiplication.

We need to use associative property of multiplication.

Associative property of multiplication:

$(a\times b)\times c = a\times (b\times c)$

Now use the above property and solve the provided multiplication:

$(8 \times 1)\times 3 = 8 \times (1 \times 3)$

$8\times 3 = 8 \times 3$

$24 = 24$

The multiplication is verified by associative property.

4 0

3 years ago

mai is running for president of the chess club and she received 36 votes there are 40 members in the club what percentage of the

Drupady [299]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Based on the figure below, the ratio of x/y is equivalent to which trigonometric function?

Ede4ka [16]

Answer: OPTION D.

Step-by-step explanation:

For this exercise it is important to remember the following Trigonometric Functions:

$sin\alpha =\frac{opposite}{hypotenuse}\\\\cos\alpha =\frac{adjacent}{hypotenuse}\\\\tan\alpha =\frac{opposite}{adjacent}\\\\sec\alpha =\frac{hypotenuse}{adjacent}\\\\csc\alpha =\frac{hypotenuse}{opposite}\\\\cot\alpha =\frac{adjacent}{opposite}$

Knowing this, we can identify that:

$cosA=\frac{AC}{AB}=\frac{x}{AB}\\\\sinB=\frac{AC}{AB}=\frac{x}{AB}\\\\secA=\frac{AB}{AC}=\frac{AB}{x}\\\\tanB=\frac{AC}{BC}=\frac{x}{y}$

Therefore, the ratio $\frac{x}{y}$ is equivalent to this Trignometric function:

$tanB=\frac{x}{y}$

8 0

3 years ago

Biologists have noticed that the chirping rate of crickets of a certain species is related to temperature, and the relationship

Step2247 [10]

Answer:

$y=\frac{1}{6}x+\frac{307}{6}$

Step-by-step explanation:

Basically the word problem here is trying to get us to find the line using the two points (113,70) and (173,80).

It also tells us by saying that we're modeling the temperature that we're going to be using the y = mx + b formula. m and b are what we'll mainly be looking for.

Let's start by finding m, the slope. We'll be using the point slope formula:

$\frac{y_2-y_1}{x_2-x_1} \\\frac{70-80}{113-173}\\\frac{10}{60}\\ \frac{1}{6}$

So m = 1/6.

Now let's use that m and choose one of the points (I chose (113,70) ) to plug in everything but b in the original formula

$y=\frac{1}{6} x+b\\70=\frac{1}{6}113+b\\420=113+6b\\307=6b\\\frac{307}{6}=b$

so now that we know our b and our m, we can plug those into the original equation to get our answer!

$y=\frac{1}{6}x+\frac{307}{6}$

7 0

3 years ago

Station P is situated on a bearing 030° and 12km east of station Q which is north of R. How far is P north of R?​

Station P is situated on a bearing 030° and 12km east of station Q which is north of R. How far is P north of R?